0 votes 0 votes $f\left ( x \right )=$$\int_{-2}^{2}x^{-\frac{2}{7}}dx$ Is this function f(x) is continuous, bounded and differentiable? (In exam hall is it possible to draw the graph for this function f(x), or some other procedure to follow to ans this) Calculus integration + – srestha asked May 18, 2018 • edited May 18, 2018 by srestha srestha 1.8k views answer comment Share Follow See all 35 Comments See all 35 35 Comments reply Show 32 previous comments ankitgupta.1729 commented May 20, 2018 reply Follow Share One of the Very Basic rules of the Integral Calculus " If limits of the definite integral are from a to b and the function (on which integration is being applied) is discontinuous at some point c then the integration can be Broken down to "a to c + c to b " here , it is the case of infinite discontinuity.. I don't think what are saying is applicable here.. 0 votes 0 votes Deepak Poonia commented May 20, 2018 reply Follow Share @Deepakk can u please show me how to compute the definite integral of x^(-2) from -2 to 2 by breaking it into [-2,0) and (0,2] Nice point. Thanks for pointing it out. Will certainly be worth digging about it. 0 votes 0 votes Deepak Poonia commented May 20, 2018 reply Follow Share here , it is the case of infinite discontinuity.. I don't think what are saying is applicable here.. Thank you @ankitgupta for mentioning. Will dig into it. And One long-pending doubt "How to tag someone on GO?" 0 votes 0 votes Please log in or register to add a comment.
